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Finite groups with submultiplicative spectra
Grunenfelder, Luzius ...
V članku obravnavamo abstraktne končne grupe z lastnostjo imenovano lastnost ▫$\hat{s}$▫, da imajo vse upodobitve podgrup submultiplikativen spekter. Take grupe morajo biti nilpotentne in zato se ...lahko osredotočimo na ▫$p$▫-grupe. ▫$p$▫-grupe z lastnostjo ▫$\hat{s}$▫ so regularne. Zato ima 2-grupa lastnost ▫$\hat{s}$▫ natanko tedaj, ko je abelova. Če je ▫$p$▫ liho praštevilo, potem ima vsaka ▫$p$▫-abelova grupa lastnost ▫$\hat{s}$▫, torej imajo to lastnost vse grupe z eksponentom ▫$p$▫. V članku dokažemo, da ima 3-grupa ali meta-abelova ▫$p$▫-grupa, za ▫$p$▫ vsaj 5, lastnost ▫$\hat{s}$▫ natanko tedaj, ko je ▫$V$▫-regularna.
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